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Finding the Fourth Proportional to 1,011.96, 1,516.77 and 464.20

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Solution

The fourth proportional to 1,011.96, 1,516.77 and 464.20 is: 695.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.96 : 1,516.77 = 464.20 : x
  2. Step 2: Convert to fraction form
    1,011.96/1,516.77 = 464.20/x
  3. Step 3: Cross multiply
    1,011.96x = 1,516.77 × 464.20
  4. Step 4: Simplify right side
    1,011.96x = 704,077.05
  5. Step 5: Solve for x
    x = 704,077.05/1,011.96
  6. Step 6: Final answer
    x = 695.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.